Algebraic Geodesy and Geoinformatics, Methods and Applications - 2009 Preface This electronic supplement gives computational examples illustrating the different topics in the book. The algorithms are implemented in Mathematica system providing symbolic, as well as numeric computation methods. This electronic guide gives a practical approach to the application of CAS (Computer Algebra System), especially Mathemat- ica to nonlinear geodetical computations of mainly algebraic types. The users will find a great amount of examples explain- ing and illustrating the different techniques, as well as the solutions of different problems of nonlinear types. The organization of this material is as follows: In the PART I, from Chapter 1 to 9, symbolic-numeric methods are presented to solve mainly nonlinear, polynomial systems. In this regard: L Symbolic methods like Dixon resultant and Groebner basis can be applied to determined polynomial systems having less than 10 unknowns. L Global numerical technique like linear homotopy can solve determined systems of considerably higher dimensions. L Overdetermined systems can be sometimes transformed into determined systems via algebraic least square solution (ALESS) and solved by techniques mentioned above. L Gauss -Jacobi combinatorial algorithm extended to nonlinear systems is an other effective method to solve overdetermined systems, especially when the solution of the corresponding determined subsets can be achieved by symbolic method in simple form. L Extended Newton -Raphson method is a very general numerical technique to solve over-, under-, and determined systems, respectively. Although this is basically a local numerical method employing singular value decomposition (SVD). It is very robust, therefore the solution of one of the corresponding determined subsystems of the problem can give a good initial guess for this method. L Procrustes method that provides a global numerical solution for coordinate transformation problems is also presented for overdetermined systems. In the PART II, from Chapter 10 to Chapter 20, the applications of these algorithms to typical geodetical problems are introduced. These include: